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Finding the Fourth Proportional to 21,249.03, 31,871.53 and 6,458.08

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Solution

The fourth proportional to 21,249.03, 31,871.53 and 6,458.08 is: 9,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.03 : 31,871.53 = 6,458.08 : x
  2. Step 2: Convert to fraction form
    21,249.03/31,871.53 = 6,458.08/x
  3. Step 3: Cross multiply
    21,249.03x = 31,871.53 × 6,458.08
  4. Step 4: Simplify right side
    21,249.03x = 205,828,842.29
  5. Step 5: Solve for x
    x = 205,828,842.29/21,249.03
  6. Step 6: Final answer
    x = 9,686.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.